空间

The principal component method and the minor component method are recommended to reduce the computation of MNE and MPE respectively. Whether rank reduction conducted or not, STAP is always performed in a particular space which may be spanned or expressed by different sets of basis.

我们在第5章讨论了DFP结构上两种特征子空间降维方法，即最小功率特征对消和最小范数特征对消，这两种方法将权矢量约束在噪声子空间内，从而能够对消与噪声子空间正交的杂波分量。

The dissertation includes the work as follows: Firstly, we present a random graph model with spatial reuse for a dense MANET which using directional antennas. The analytic formula of several important performance parameters for the MANET are obtained under the DSR routing protocol, such as the average flooding distance, the probability generating function of the flooding distance, the probability of a flooding route to be symmetrically valid, the average time to find a symmetrically valid route and the cost to successfully route a data packet to its destination. We compare the two models with spatial reuse and without spatial reuse by evaluating these parameters. It is shown that the spatial reuse model is much more effcctive in terms of the performance of the dense network with directional antenna, because the bigger is the degree of spatial reuse, the smaller is the average flooding distance.

在定向天线技术的支持下，建立了移动自组网络空间可重用的贝努利随机图模型，获得了DSR路由协议下平均泛洪距离的解析公式和泛洪距离的概率母函数：给出了有效对称路由概率、发现有效路由平均时间、成功路由代价等关键性能参数的解析分析；在网络性能参数定量分析的基础上，对空间可重用和无重用的网络进行了比较分析，结果显示空间重用度增大，则平均泛洪距离、路由发现时延、网络代价减少。

The results indicated:（1）the combination of the Markov and spatial logistic models can improve the predictability of each model individually. In macroscopic scale, the total land use amount can be predicted via Markov chain; in microscopic scale, the multi-class multinomial logistic model can be used to implement the combined calculations of categorical variable and continuous variable, qualitative variable and quantitative variable to improve the precision of spatial regression. Meanwhile, the transition probability of each land use unit will be confirmed and the prediction of land use spatial distribution will also be completed.（2）the application system developed in accordance with the integrated model can effectively simulate and predict the land use evolution in Shenzhen City, and the prediction precision of verification system will suffice for recent land use monitoring and the making of annual land supply planning.

研究结果：（1）空间Logistic和Markov模型集成可提升单一模型的应用能力，宏观上利用Markov Chain进行土地利用规模总量预测，微观上利用多分类Multinomial Logistic模型解决分类变量与连续变量，定性变量和定量变量的联合解算提高空间回归精度，同时可以确定每一个土地利用单元转移概率，实现土地利用空间分布的预测；（2）基于集成模型开发出的应用系统能够有效仿真和预测深圳市土地利用演化，通过验证系统预测精度能够满足近期土地利用预警和年度土地供应计划编制。

Aimed at the characteristic of process industry, combined with the powerful ability of GIS and spatial data mining which express and process spatial data, it is a new way to realize the information query, analysis, prognostication and decision-making functions of CIMS with GIS and spatial data mining applied in industry CIMS and makes sense to promote the development of CIMS.

针对流程工业CIMS的特点，结合GIS和空间数据挖掘技术在描述和处理空间信息时强大的表达和处理能力，将GIS和空间数据挖掘技术运用于流程工业CIMS信息服务和决策支持系统，是实现流程工业CIMS的信息查询、分析、预测、评价和决策的一种新的、有效的途径，对促进流程工业CIMS的发展具有重要的意义。

The classical work usually assumes the setting of complex projective space in favor of its algebraic closedness; thus the classical results cannot be applied directly to the setting of real projective space assumed in most CAD/CAM applications.

古典的代数几何方法对QSIC的分类在复空间进行，由于复空间的代数封闭性，在复空间对QSIC的分类已有非常完善的结果，但其分类结果不能直接应用于实空间中的CAD／CAM问题中。

According to the theory of beam phase space , the projective density distributions in four dimensional and two dimensional trace space are derived for some space charge distributions often used in accelerator physics. And, the relation between beam emittance and brightness with density distributions is developed too.

针对加速器中几种常用的束流密度相空间分布形式，根据束流相空间理论，推得了它们在四维和二维径迹空间中的投影密度，并给出了束流发射度和亮度与束流密度分布的关系式，为加速器束流测量和束流诊断提供理论依据。

Briefly speaking, a space curve is called affinely infinite if it is intersected by every plane in the 3D real projective space; otherwise, it is called affinely finite.

简单地说，在三维实射影空间，如果一条空间曲线与射影空间中任意一个平面都相交，那么称这条曲线是仿射无限的；反之是仿射有限的。

Also the response amplitude will be changed with the initial conditions due to the nonlinear properties of the cables.Taking the bending stiffness, cable sag and cable inclination into consideration, the space vibration control of the cables using the visco-elastic dampers in cable-stayed bridges is investigated by joining the center difference method and the state space strategy. Both the maximum modal damping ration and the optimal damper size are obtained, then the practical suggestions are proposed for the design of the dampers. The space nonlinear vibration equations of the cable-damper system are derived, and anew hybrid method for solving the cable-damper system is presented by combing the Newmark method and Pseudo-force technology. According to the known properties of the cable-damper system, the nonlinear transient responses are analyzed under all kinds of excitations. Based on the transient response, the control effectiveness of the visco-elastic dampers is further demonstrated.

综合考虑了拉索抗弯刚度、垂度的影响，研究了粘弹性阻尼器对斜拉桥拉索的空间振动控制，联合中心差分方法及状态空间法，得出了拉索面内、外振动各阶模态可能达到的最大阻尼比及相应的最优阻尼器系数，并对斜拉桥拉索的阻尼器设计提出了参考建议：考虑拉索抗弯刚度、垂度及几何非线性，导出了索-阻尼器系统的空间振动非线性方程组，结合Newmark方法及伪力(Pseudo-Force)方法，创新地提出了求解非线性方程组的杂交方法，根据拉索-阻尼器系统的阻尼特性，在各种荷载作用下，对索-阻尼器系统的非线性瞬态振动响应进行了研究，从系统响应的角度更加直接地验证了阻尼器的控制效果。

And then, this dissertation proposed a secret sharing scheme of secure vector space based on quadratic residue.

利用特定条件下计算二次剩余的困难性，恢复秘密时验证各参与者提供的份额的有效性，也=肖清华二杜绝了恶意参与者欺诈的可能性；(2)在秘密共享一多重签名方面，本论文针对数字签名的可跟踪性，以及确认签名是否来自同一个参与者授权子集这两个问题，指出了秘密共享和多重签名各自存在的不足，在此基础上，把两者结合起来，并从门限秘密共享一多重签名、矢量空间秘密共享一多重签名两方面对秘密共享一多重签名技术进行探讨，把 Sunder一Kumar门限秘密共享一多重签名方案推广到更为广泛的矢量空间上，并独立地提出了一个双通道的安全矢量空间秘密共享一多重签名方案。

Using the measure property of the original space it shows that the quotient space has its self-similar measure, and the support of the measure is the unique attractor of quotient space.

并且利用原空间的测度性质，提出了在商空间中也具有自相似测度，且自相似测度的支撑集就是商空间的唯一的吸引子。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。